The charge q on the capacitor in a simple RLC circuit is governed by the equation...

Transcribed Image Text:

The charge q on the capacitor in a simple RLC circuit is governed by the equation Lq"(t) + Rq'(t) + (1/C)q(t)=E(t), where L is the inductance, R the resistance, C the capacitance, and E the voltage source. Since the resistance of a resistor increases with temperature, let's assume that the resistor is heated so that the resistance at time t is R(t) = te3t . If L = 0.4 H, C = 5 F, E(t) = 0, q(0) = 20 C and q'(0) = 0 A, find at least the first four non-zero terms in Maclaurin series expansion about t=0 for the charge on the capacitor. The charge q on the capacitor in a simple RLC circuit is governed by the equation Lq"(t) + Rq'(t) + (1/C)q(t)=E(t), where L is the inductance, R the resistance, C the capacitance, and E the voltage source. Since the resistance of a resistor increases with temperature, let's assume that the resistor is heated so that the resistance at time t is R(t) = te3t . If L = 0.4 H, C = 5 F, E(t) = 0, q(0) = 20 C and q'(0) = 0 A, find at least the first four non-zero terms in Maclaurin series expansion about t=0 for the charge on the capacitor.

Answer rating: 100% (QA)

To find the Maclaurin series expansion for the charge qt in the given RLC circuit we can use the ini... View the full answer